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Article Information:
An Efficient Method for Second Order Boundary Value Problems
Jishan Ahmed
Corresponding Author: Jishan Ahmed
Submitted: August 19, 2014
Accepted: September 14, 2014
Published: February 25, 2015 |
Abstract:
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In this study, we apply the homotopy perturbation method for solving the second-order boundary value problems by reformulating them as an equivalent system of integral equations. This equivalent formulation is obtained by using a suitable transformation. The analytical results of the integral equations have been obtained in terms of convergent series with easily computable components. The method is tested for solving linear second-order boundary value problems. The analysis is accompanied by several examples that demonstrate the comparison and shows the pertinent features of the homotopy perturbation technique.
Key words: Boundary value problems, homotopy perturbation method, integral equation, , , ,
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Cite this Reference:
Jishan Ahmed, . An Efficient Method for Second Order Boundary Value Problems. Research Journal of Mathematics and Statistics, (1): 1-5.
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ISSN (Online): 2040-7505
ISSN (Print): 2042-2024 |
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